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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy
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Application +4 | -1
The coefficient of x4{x^4} in the expansion of 1−2x−x2e−x\frac{{1 - 2x - {x^2}}}{{{e^{ - x}}}} is
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Correct option: A
1−k−k2k!\frac{{1 - k - {k^2}}}{{k!}}
Option C is correct because by substituting the given value of x and applying the properties of logarithms, the expression simplifies to -6.

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